Class 8 Maths Final Test Worksheet
The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.
NameDateTime takenScore ___ / 40
- 1.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
- 2.What is the value of 3² × 3⁻²? =
- 3.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 4.Find the compound interest on ₹19500 at 12% per year for 1 year, compounded every year (in ₹).
- 5.Solve: 3(y − 1) = 2y + 9. What is y?
- 6.Use (a + b)² = a² + 2ab + b² to find 83².
- 7.What is the value of 5⁴ × 5⁻⁶? =
- 8.A cuboid is 13 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 9.Use a² − b² = (a + b)(a − b) to find 38² − 37².
- 10.What is the value of 5¹ × 5⁻⁵? =
- 11.What amount will ₹27500 grow to in 1 year at 25% per year compound interest (in ₹)?
- 12.Find the compound interest on ₹49500 at 20% per year for 3 years, compounded every year (in ₹).
- 13.Solve: x/3 + x/2 = 30. What is x?
- 14.The sum of four consecutive whole numbers is 170. What is the largest of them?
- 15.What is √1764? =
- 16.What is the difference between the compound interest and the simple interest on ₹57200 at 25% per year for 2 years (in ₹)?
- 17.What is the value of 2⁸? =
- 18.The diagonals of a rhombus are 24 cm and 10 cm. What is its area (in square cm)?
- 19.Which of these is a perfect cube? (a) 1068 (b) 1062 (c) 1000
- 20.Solve: 4(y − 5) = y + 4. What is y?
- 21.What is the value of 2²? =
- 22.What is the difference between the compound interest and the simple interest on ₹50000 at 12% per year for 2 years (in ₹)?
- 23.Solve: 5(y − 1) = y + 19. What is y?
- 24.What is ∛6859? =
- 25.Find the value of x² − 2xy + y² when x = 7 and y = 3.
- 26.What is the value of (1/3)⁻¹? =
- 27.Write 5 × 10⁻² as a decimal. =
- 28.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 29.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
- 30.What is the difference between the compound interest and the simple interest on ₹21200 at 15% per year for 2 years (in ₹)?
- 31.Which of these is a perfect square? (a) 1369 (b) 1423 (c) 1410
- 32.What is the value of 8⁴? =
- 33.Solve: 3p + 12 = p + 22. What is p?
- 34.A square garden has an area of 25 square m. How long is each side (in m)?
- 35.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
- 36.A trapezium has parallel sides of 17 cm and 28 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 37.Write 9.1 × 10⁻² as a decimal. =
- 38.What amount will ₹12000 grow to in 2 years at 15% per year compound interest (in ₹)?
- 39.What is 7³? =
- 40.Find the value of x² + 2xy + y² when x = 9 and y = 5.
Answer key
- 8
- 1
- 150
- 2340
- 12
- 6889
- 1/25
- 334
- 75
- 1/625
- 34375
- 36036
- 36
- 44
- 42
- 3575
- 256
- 120
- 1000
- 8
- 4
- 720
- 6
- 19
- 16
- 3
- 0.05
- 64
- 9
- 477
- 1369
- 4096
- 5
- 5
- 16
- 45
- 0.091
- 15870
- 343
- 196
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